In this work, we discuss the Guo et al [1]}'s approach to a focusing vector NLSE (VNLSE), known as Manakov system given as follows
\(iu_{t}+\frac{1}{2}u_{xx}+u(|u|^{2}+|v|^{2}) &=& 0,\) 
\(iv_{t}+\frac{1}{2}v_{xx}+v(|u|^{2}+|v|^{2}) &=& 0,\) 
